JEE Main 3 April 2025 Shift 2 Question Paper with Answers
3 April 2025 · April session · 75 questions
The complete JEE Main 3 April 2025 Shift 2 paper — all 75 questions with the correct answer for each, tagged to the chapter it tests. Free to read, no account needed.
A magnetic dipole experiences a torque of 803 N m when placed in a uniform magnetic field in such a way that the dipole moment makes an angle of 60∘ with the magnetic field. The potential energy of the dipole is:
In the resonance experiment, two air columns (closed at one end) of 100 cm and 120 cm long, give 15 beats per second when each one is sounding in the respective fundamental modes. The velocity of sound in the air column is:
Two cylindrical vessels of equal cross sectional area of 2m2 contain water upto height 10 m and 6 m, respectively. If the vessels are connected at their bottom then the work done by the force of gravity is: (Density of water is 103kg/m3 and g=10m/s2)
Width of one of the two slits in a Young's double slit interference experiment is half of the other slit. The ratio of the maximum to the minimum intensity in the interference pattern is:
An ideal gas exists in a state with pressure P0, volume V0. It is isothermally expanded to 4 times of its initial volume (V0), then isobarically compressed to its original volume. Finally the system is heated isochorically to bring it to its initial state. The amount of heat exchanged in this process is:
Two monochromatic light beams have intensities in the ratio 1:9. An interference pattern is obtained by these beams. The ratio of the intensities of maximum to minimum is:
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The Bohr model is applicable to hydrogen and hydrogen-like atoms only.
Reason R: The formulation of Bohr model does not include repulsive force between electrons.
In the light of the above statements, choose the correct answer from the options given below:
(A)Both A and R are true but R is NOT the correct explanation of A.
(B)A is false but R is true.
(C)Both A and R are true and R is the correct explanation of A.
Using a battery, a 100 pF capacitor is charged to 60 V and then the battery is removed. After that, a second uncharged capacitor is connected to the first capacitor in parallel. If the final voltage across the second capacitor is 20 V, its capacitance is: (in pF)
A monochromatic light of frequency 5×1014 Hz travelling through air, is incident on a medium of refractive index '2'. Wavelength of the refracted light will be:
Consider two blocks A and B of masses m1=10 kg and m2=5 kg are placed on a frictionless table. The block A moves with a constant speed v=3 m/s towards the block B kept at rest. A spring with spring constant k=3000 N/m is attached with the block B. After the collision, suppose that the blocks A and B, along with the spring in contact compression state, move together, then the compression in the spring is (neglect the mass of the spring):
A particle is projected with velocity u so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as 25gnu2, where the value of n is: (Given 'g' is the acceleration due to gravity.)
A solid steel ball of diameter 3.6 mm acquired terminal velocity 2.45×10−2 m/s while falling under gravity through an oil of density 925kgm−3. Take density of steel as 7825kgm−3 and g as 9.8m/s2. The viscosity of the oil in SI unit is:
A particle moves along the x-axis and has its displacement x varying with time t according to the equation x=c0(t2−2)+c(t−2)2, where c0 and c are constants of appropriate dimensions. Then, which of the following statements is correct?
A block of mass 1 kg, moving along the x-axis with speed v=10 m/s enters a rough region ranging from x=0.1 m to x=1.9 m. The retarding force acting on the block in this range is Fr=−kx N, with k=10 N/m. Then the final speed of the block as it crosses the rough region is:
Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: If oxygen ion (O−) and Hydrogen ion (H+) enter normal to the magnetic field with equal momentum, then the path of O− ion has a smaller curvature than that of H+.
Reason R: A proton with same linear momentum as an electron will form a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.
In the light of the above statements, choose the correct answer from the options given below:
(A)A is true but R is false.
(B)Both A and R are true but R is NOT the correct explanation of A.
(C)A is false but R is true.
(D)Both A and R are true and R is the correct explanation of A.
Light from a point source in air falls on a spherical glass surface (refractive index μ=1.5 and radius of curvature =50 cm). The image is formed at a distance of 200 cm from the glass surface inside the glass. The magnitude of distance of the light source from the glass surface is __________ m.
The excess pressure inside a soap bubble A in air is half the excess pressure inside another soap bubble B in air. If the volume of the bubble A is n times the volume of the bubble B, then, the value of n is __________.
Two cells of emf 1 V and 2 V and internal resistance 2 Ω and 1 Ω, respectively, are connected in series with an external resistance of 6 Ω. The total current in the circuit is I1. Now the same two cells in parallel configuration are connected to same external resistance. In this case, the total current drawn is I2. The value of (I2I1) is 3x. The value of x is __________.
An electron in the hydrogen atom initially in the fourth excited state makes a transition to nth energy state by emitting a photon of energy 2.86 eV. The integer value of n will be __________.
A physical quantity C is related to four other quantities p, q, r and s as follows C=r3spq2. The percentage errors in the measurement of p, q, r and s are 1%, 2%, 3% and 2% respectively. The percentage error in the measurement of C will be __________ %.
40 mL of a mixture of CH3COOH and HCl (aqueous solution) is titrated against 0.1 M NaOH solution conductometrically. Which of the following statement is correct?
(A)The concentration of CH3COOH in the original mixture is 0.005 M
(B)The concentration of HCl in the original mixture is 0.005 M
(C)CH3COOH is neutralised first followed by neutralisation of HCl
(D)Point 'C' indicates the complete neutralisation of HCl
10 mL of 2 M NaOH solution is added to 20 mL of 1 M HCl solution kept in a beaker. Now, 10 mL of this mixture is poured into a volumetric flask of 100 mL containing 2 mole of HCl and made the volume upto the mark with distilled water. The solution in this flask is:
Fat soluble vitamins are:
A. Vitamin B1
B. Vitamin C
C. Vitamin E
D. Vitamin B12
E. Vitamin K
Choose the correct answer from the options given below:
Compounds that should not be used as primary standards in titrimetric analysis are:
A. Na2Cr2O7
B. Oxalic acid
C. NaOH
D. FeSO4⋅6H2O
E. Sodium tetraborate
Choose the most appropriate answer from the options given below:
The standard cell potential (Ecell⊖) of a fuel cell based on the oxidation of methanol in air that has been used to power a television relay station is measured as 1.21 V. The standard half cell reduction potential for O2(EO2/H2O∘) is 1.229 V. Choose the correct statement:
(A)The standard half cell reduction potential for the reduction of CO2(ECO2/CH3OH∘) is 19 mV
(B)Oxygen is formed at the anode.
(C)Reactants are fed at one go to each electrode.
(D)Reduction of methanol takes place at the cathode.
Identify the diamagnetic octahedral complex ions from below:
A. [Mn(CN)6]3−
B. [Co(NH3)6]3+
C. [Fe(CN)6]4−
D. [Co(H2O)3F3]
Choose the correct answer from the options given below:
In Dumas' method for estimation of nitrogen, 0.4 g of an organic compound gave 60 mL of nitrogen collected at 300 K temperature and 715 mm Hg pressure. The percentage composition of nitrogen in the compound is: (Given: Aqueous tension at 300 K = 15 mm Hg)
Given below are two statements:
Statement I: Wet cotton clothes made of cellulose based carbohydrate takes comparatively longer time to get dried than wet nylon polymer based clothes.
Statement II: Intermolecular hydrogen bonding with water molecule is more in nylon-based clothes than in the case of cotton clothes.
In the light of the above statements, choose the correct answer from the options given below:
Given below are two statements:
Statement I: CrO3 is a stronger oxidizing agent than MoO3.
Statement II: Cr(VI) is more stable than Mo(VI).
In the light of the above statements, choose the correct answer from the options given below:
Given below are two statements:
Statement I: Hyperconjugation is not a permanent effect.
Statement II: In general, greater the number of alkyl groups attached to a positively charged C-atom, greater is the hyperconjugation interaction and stabilization of the cation.
In the light of the above statements, choose the correct answer from the options given below:
Given below are two statements:
Statement I: When a system containing ice in equilibrium with water (liquid) is heated, heat is absorbed by the system and there is no change in the temperature of the system until whole ice gets melted.
Statement II: At melting point of ice, there is absorption of heat in order to overcome intermolecular forces of attraction within the molecules of water in ice and kinetic energy of molecules is not increased at melting point.
In the light of the above statements, choose the correct answer from the options given below:
The correct orders among the following are:
A. Atomic radius: B<Al<Ga<In<Tl
B. Electronegativity: Al<Ga<In<Tl<B
C. Density: Tl<In<Ga<Al<B
D. 1st Ionisation Energy: In<Al<Ga<Tl<B
Choose the correct answer from the options given below:
Consider the following statements related to temperature dependence of rate constants. Identify the correct statements:
A. The Arrhenius equation holds true only for an elementary homogeneous reaction.
B. The unit of A is same as that of k in Arrhenius equation.
C. At a given temperature, a low activation energy means a fast reaction.
D. A and Ea as used in Arrhenius equation depend on temperature.
E. When Ea≫RT, A and Ea become interdependent.
Choose the correct answer from the options given below:
X g of nitrobenzene on nitration gave 4.2 g of m-dinitrobenzene. X = __________ g. (nearest integer) [Given: molar mass (in g mol−1) C: 12, H: 1, O: 16, N: 14]
A perfect gas (0.1 mol) having Cv=1.50R (independent of temperature) undergoes the transformation shown in the following P-V diagram from point 1 to point 4. If each step is reversible, the total work done (w) while going from point 1 to point 4 is (−) __________ J (nearest integer). [Given: R = 0.082 L atm K−1 mol−1]
A sample of n-octane (1.14 g) was completely burnt in excess of oxygen in a bomb calorimeter, whose heat capacity is 5 kJ K−1. As a result of combustion reaction, the temperature of the calorimeter is increased by 5 K. The magnitude of the heat of combustion of octane at constant volume is __________ kJ mol−1 (nearest integer).
Among Sc, Mn, Co and Cu, identify the element with highest enthalpy of atomisation. The spin only magnetic moment value of that element in its +2 oxidation state is __________ BM (in nearest integer).
Let f:R→R be a function defined by f(x)=∣x+2∣−2∣x∣. If m is the number of points of local minima and n is the number of points of local maxima of f, then m+n is equal to:
Each of the angles β and γ that a given line makes with the positive y- and z-axes, respectively, is half of the angle that this line makes with the positive x-axis. Then the sum of all possible values of the angle β is:
Let the Mean and Variance of five observations x1=1, x2=3, x3=a, x4=7 and x5=b, a>b, be 5 and 10 respectively. Then the Variance of the observations n+xn, n=1,2,…,5 is:
Consider the lines x(3λ+1)+y(7λ+2)=17λ+5, λ being a parameter, and passing through a point P. One of these lines (say L) is farthest from the origin. If the distance of L from the point (3,6) is d, then the value of d2 is:
Let A={−2,−1,0,1,2,3}. Let R be a relation on A defined by xRy if and only if y=max{x,1}. Let l be the number of elements in R. Let m and n be the minimum number of elements required to be added in R to make it reflexive and symmetric relations, respectively. Then l+m+n is equal to:
Line L1 of slope 2 and line L2 of slope 21 intersect at the origin O. In the first quadrant, P1,P2,…,P12 are 12 points on line L1 and Q1,Q2,…,Q9 are 9 points on line L2. Then the total number of triangles, that can be formed having vertices at three of the 22 points O,P1,P2,…,P12,Q1,Q2,…,Q9, is:
If the probability that the random variable X takes the value x is given by P(X=x)=k(x+1)3−x, x=0,1,2,3,…, where k is a constant, then P(X≥3) is equal to:
Let C be the circle of minimum area enclosing the ellipse E:a2x2+b2y2=1 with eccentricity 21 and foci (±2,0). Let PQR be a variable triangle, whose vertex P is on the circle C and the side QR of length 2a is parallel to the major axis of E and contains the point of intersection of E with the negative y-axis. Then the maximum area of the triangle PQR is:
Let I be the identity matrix of order 3×3 and for the matrix A=λ4725−1362, ∣A∣=−1. Let B be the inverse of the matrix adj(Aadj(A2)). Then ∣(λB+I)∣ is equal to __________.
Take the 3 April 2025 Shift 2 paper as a timed mock and Jarvis marks it, then tells you which errors were conceptual gaps, which were silly mistakes, and which pattern you have now repeated. Step-by-step solutions for every question included.